At this point, the EOM's above are all that is needed to unravel the dynamics of the presented generalised holographic superconductor. Though their exact analytical solution is not known, in the remainder of this section it will be shown that, by using the semi-analytical matching procedure presented in Ref. [1]}, one can capture the correct behaviour of the condensate in every case. The reliability of this method for the analysis of the equations under considerations
ascribes to the absence of important features between \(z=1\)  (horizon) and \(z=0\)  (AdS-asymptotic region), and involves the calculation of asymptotic solutions near both regions, that are then matched together at an intermediate point.
